Consider the Argument Form $\begin{aligned}& p \rightarrow \sim q \\& q \rightarrow \sim p \\\therefore \quad & p \vee q\end{aligned}$

Essay

Consider the argument form:
$\begin{aligned}& p \rightarrow \sim q \\& q \rightarrow \sim p \\\therefore \quad & p \vee q\end{aligned}$
Use the truth table below to determine whether this form of argument is valid or invalid. Annotate the table (as appropriate) and include a few words explaining how the truth table supports your answer. $\begin{array} { | c c | | c | c | | c | c | c | } \hline p & q & \sim p & \sim q & p \rightarrow \sim q & q \rightarrow \sim p & p \vee q \\\hline T & T & F & F & F & F & T \\\hline T & F & F & T & T & T & T \\\hline F & T & T & F & T & T & T \\\hline F & F & T & T & T & T & F \\\hline\end{array}$